Outputs (50)

A bidomain threshold model of propagating calcium waves (2007)
Journal Article
Thul, R., Smith, G., & Coombes, S. (2008). A bidomain threshold model of propagating calcium waves. Journal of Mathematical Biology, 56(4), https://doi.org/10.1007/s00285-007-0123-5

We present a bidomain fire-diffuse-fire model that facilitates mathematical analysis of propagating waves of elevated intracellular calcium (Ca) in living cells. Modelling Ca release as a threshold process allows the explicit construction of travell... Read More about A bidomain threshold model of propagating calcium waves.

Waiting time distributions for clusters of complex molecules (2007)
Journal Article
Thul, R., & Falcke, M. (2007). Waiting time distributions for clusters of complex molecules. EPL, 79(3), https://doi.org/10.1209/0295-5075/79/38003

Waiting time distributions are in the core of theories for a large variety of subjects ranging from the analysis of patch clamp records to stochastic excitable systems. Here, we present a novel exact method for the calculation of waiting time distrib... Read More about Waiting time distributions for clusters of complex molecules.

Building oscillations bottom up: Elemental time scales of intracellular calcium dynamics (2007)
Book Chapter
Thul, R., & Falcke, M. (2007). Building oscillations bottom up: Elemental time scales of intracellular calcium dynamics. In L. Schimansky-Geier, B. Fiedler, J. Kurths, & E. Schöll (Eds.), Analysis and control of complex nonlinear processes in physics, chemistry and biology (293-324). World Scientific. https://doi.org/10.1142/9789812706911_0011

We analyze the elemental time scale of intracellular calcium dynamics. It is determined by the time course of Ca2+ puffs, which represent the fundamental quantum of Ca2+ release from intracellular storage compartments. Since Ca2+ puffs are truly rand... Read More about Building oscillations bottom up: Elemental time scales of intracellular calcium dynamics.

Calcium oscillations (2007)
Book Chapter
Thul, R., Bellamy, T., Roderick, L., Bootman, M., & Coombes, S. (2007). Calcium oscillations. In M. Maroto, & N. Monk (Eds.), Cellular Oscillatory Mechanisms. Springer

Changes in cellular calcium concentration control a wide range of physiological processes, from the subsecond release of synaptic neurotransmitters, to the regulation of gene expression over months or years. Calcium can also trigger cell death throu... Read More about Calcium oscillations.

Frequency of elemental events of intracellular Ca²⁺ dynamics (2006)
Journal Article
Thul, R., & Falcke, M. (2006). Frequency of elemental events of intracellular Ca²⁺ dynamics. Physical Review E, 73, Article 061923. https://doi.org/10.1103/PhysRevE.73.061923

The dynamics of intracellular Ca²⁺ is driven by random events called Ca²⁺ puffs, in which Ca²⁺ is liberated from intracellular stores. We show that the emergence of Ca²⁺ puffs can be mapped to an escape process. The mean first passage times that corresp... Read More about Frequency of elemental events of intracellular Ca²⁺ dynamics.

Reactive clusters on a membrane (2005)
Journal Article
Thul, R., & Falcke, M. (2005). Reactive clusters on a membrane. Physical Biology, 2, https://doi.org/10.1088/1478-3967/2/1/007

We investigate the reaction dynamics of diffusive molecules with immobile binding partners. The fixed reactants build clusters that comprise just a few tens of molecules, which leads to small cluster sizes. These molecules participate in the reaction... Read More about Reactive clusters on a membrane.

Release currents of IP₃ receptor channel clusters and concentration profiles (2004)
Journal Article
Thul, R., & Falcke, M. (2004). Release currents of IP₃ receptor channel clusters and concentration profiles. Biophysical Journal, 86(5),

We simulate currents and concentration profiles generated by Ca2+ release from the endoplasmic reticulum (ER)
to the cytosol through IP3 receptor channel clusters. Clusters are described as conducting pores in the lumenal membrane with a diameter f... Read More about Release currents of IP₃ receptor channel clusters and concentration profiles.

Stability of membrane bound reactions (2004)
Journal Article
Thul, R., & Falcke, M. (2004). Stability of membrane bound reactions. Physical Review Letters, 93(18), https://doi.org/10.1103/+PhysRevLet+t.93.188103

We present a novel approach to the dynamics of reactions of diffusing chemical species with species fixed in space e.g. by binding to a membrane. The non-diffusing reaction partners are clustered in areas with a diameter smaller than the diffusion length... Read More about Stability of membrane bound reactions.

Landau-Gutzwiller quasi-particles (2003)
Journal Article
Bünemann, J., Gebhard, F., & Thul, R. (2003). Landau-Gutzwiller quasi-particles. Physical Review B, 67, Article 075103. https://doi.org/10.1103/PhysRevB.67.075103

We define Landau quasiparticles within the Gutzwiller variational theory and derive their dispersion relation for general multiband Hubbard models in the limit of large spatial dimensions D. Thereby we reproduce our previous calculations which were ba... Read More about Landau-Gutzwiller quasi-particles.

Phase-amplitude descriptions of neural oscillator models
Journal Article
Wedgwood, K. C., Lin, K. K., Thul, R., & Coombes, S. Phase-amplitude descriptions of neural oscillator models. Journal of Mathematical Neuroscience, 3(2), https://doi.org/10.1186/2190-8567-3-2

Phase oscillators are a common starting point for the reduced description of many single neuron models that exhibit a strongly attracting limit cycle. The framework for analysing such models in response to weak perturbations is now particularly well... Read More about Phase-amplitude descriptions of neural oscillator models.